63985950 has 240 divisors, whose sum is σ = 212096544. Its totient is φ = 13996800.

The previous prime is 63985937. The next prime is 63985979. The reversal of 63985950 is 5958936.

63985950 is a `hidden beast` number, since 639 + 8 + 5 + 9 + 5 + 0 = 666.

63985950 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 63985896 and 63985905.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1048920 + ... + 1048980.

Almost surely, 2^63985950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 63985950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106048272).

63985950 is an abundant number, since it is smaller than the sum of its proper divisors (148110594).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

63985950 is a wasteful number, since it uses less digits than its factorization.

63985950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The square root of 63985950 is about 7999.1218268007. The cubic root of 63985950 is about 399.9707270245.

The spelling of 63985950 in words is "sixty-three million, nine hundred eighty-five thousand, nine hundred fifty".